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10402021211104 = 255973556313567
BaseRepresentation
bin1001011101011110100011…
…0001110111101111100000
31100211102102202001210012201
42113113220301313233200
52330411314412223404
634042342250502544
72122343532302125
oct227275061675740
940742382053181
1010402021211104
113350521880216
1211bbb93a34a54
135a5ba2459663
1427d66390c74c
151308a8eddca4
hex975e8c77be0

10402021211104 has 96 divisors (see below), whose sum is σ = 21116720701440. Its totient is φ = 5041540611072.

The previous prime is 10402021211051. The next prime is 10402021211117. The reversal of 10402021211104 is 40111212020401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766708129 + ... + 766721695.

It is an arithmetic number, because the mean of its divisors is an integer number (219965840640).

Almost surely, 210402021211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402021211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558360350720).

10402021211104 is an abundant number, since it is smaller than the sum of its proper divisors (10714699490336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10402021211104 is a wasteful number, since it uses less digits than its factorization.

10402021211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19272 (or 19264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10402021211104 its reverse (40111212020401), we get a palindrome (50513233231505).

The spelling of 10402021211104 in words is "ten trillion, four hundred two billion, twenty-one million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 73 118 146 236 292 472 584 944 1168 1888 2336 4307 5563 8614 11126 13567 17228 22252 27134 34456 44504 54268 68912 89008 108536 137824 178016 217072 328217 406099 434144 656434 800453 812198 990391 1312868 1600906 1624396 1980782 2625736 3201812 3248792 3961564 5251472 6403624 6497584 7923128 10502944 12807248 12995168 15846256 23959841 25614496 31692512 47919682 58433069 75473221 95839364 116866138 150946442 191678728 233732276 301892884 383357456 467464552 603785768 766714912 934929104 1207571536 1869858208 2415143072 4452920039 5509545133 8905840078 11019090266 17811680156 22038180532 35623360312 44076361064 71246720624 88152722128 142493441248 176305444256 325063162847 650126325694 1300252651388 2600505302776 5201010605552 10402021211104